Use the additive inverse to find −24 4/5 −6 7/10 (1 point)

Answer 1

To find the additive inverse of a number, we simply change its sign. So, the additive inverse of -24 4/5 is 24 4/5.

To find the sum of -24 4/5 and -6 7/10, we add the whole numbers together and then the fractions separately.

-24 4/5 + (-6 7/10)

Whole numbers:
-24 + (-6) = -30

Fractions:
4/5 + 7/10 = (8/10) + (7/10) = 15/10 = 1 5/10 = 1 1/2

Therefore, -24 4/5 + (-6 7/10) = -30 1 1/2

Answer 2

Determine the distance between 6.5 and −7.2 on a number line.(1 point)

Answer 3

To determine the distance between two numbers on a number line, we subtract the smaller number from the larger number and take the absolute value of the result.

Distance between 6.5 and -7.2 = |6.5 - (-7.2)|

To subtract -7.2 from 6.5, we can think of it as adding the additive inverse of -7.2 to 6.5:

6.5 + (-(-7.2))

6.5 + 7.2 = 13.7

Taking the absolute value of 13.7, we find:

|13.7| = 13.7

Therefore, the distance between 6.5 and -7.2 on the number line is 13.7.

Answer 4

Subtract −6−(−8).(1 point)

Answer 5

To subtract -6 from -8, we can think of it as adding the additive inverse of -6 to -8:

-8 + (-(-6))

-8 + 6 = -2

Therefore, -6 - (-8) = -2.

Answer 6

Subtract 17−(−18).(1 point)

Answer 7

To subtract 17 from -(-18), we can think of it as adding the additive inverse of 17 to -(-18):

-(-18) + (-17)

18 + (-17) = 1

Therefore, 17 - (-18) = 1.